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Let \(N\)= 259308. Ranajay calls a factor of \(N^{2}\) \(lovely\) if it is less than \(N\) and not a factor of \(N\). How many \(lovely\) numbers are there?

Soumyadeep takes his friend to Mainland China on the occasion of Valentine's Day. He wants to buy her as many Chicken Nuggets as she wants. But she is smart ...

Find the number of pairs \((a,b)\) such that \(a\)+\(b\)=\(2017\), where \(a\),\(b\) are natural numbers and there is no carry over while adding \(a\) and \(b\) in ...

Given points \(A\), \(B\) with \(|AB|\)=\(7\). A point \(P\) is called \(good\) if the length of \(A\)-median and \(B\)-altitude are equal in triangle \(PAB\). Find the maximum ...

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